{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import math\n",
    "import matplotlib.pyplot as plt\n",
    "from scipy.fftpack import fft,ifft\n",
    "import pandas as pd\n",
    "from scipy.optimize import minimize"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "# N=20取log bin的函数\n",
    "\n",
    "def databin_20(lst):\n",
    "    result = [[]]    \n",
    "    length = len(lst)\n",
    "    n = 0\n",
    "    for i in range(length):\n",
    "        result[-1].append(math.log(lst[i],10))\n",
    "        n = n+1\n",
    "        if n ==20:\n",
    "            n = 0\n",
    "            result.append([])\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append((np.median(result[j]))) \n",
    "    return output\n",
    "\n",
    "def databin_20_std(lst):\n",
    "    result = [[]]\n",
    "    length = len(lst)\n",
    "    n = 0\n",
    "    for i in range(length):\n",
    "        result[-1].append(math.log(lst[i],10))\n",
    "        n = n+1\n",
    "        if n == 20:\n",
    "            n = 0\n",
    "            result.append([]) \n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 参考 08 Arevalo 取log bin的函数\n",
    "\n",
    "def databin_are(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.mean(result[j]))\n",
    "    return output        \n",
    "            \n",
    "\n",
    "def databin_are_std(lst,f):\n",
    "    result = [[]]\n",
    "    f_length = len(f)\n",
    "    f_i = f[0]\n",
    "    for i in range(f_length):\n",
    "        if f[i]<=1.3*f_i:\n",
    "            result[-1].append(math.log(lst[i],10))\n",
    "        else:\n",
    "            if len(result[-1])<=2:\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "            else:\n",
    "                result.append([])\n",
    "                result[-1].append(math.log(lst[i],10))\n",
    "                f_i = f[i]\n",
    "    result.pop()\n",
    "    output=[]\n",
    "    for j in range(len(result)):\n",
    "        output.append(np.std(result[j]))\n",
    "    return output"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data02 = pd.read_csv(\"1H0707495_02_rate_0310_tb50_sel.csv\")\n",
    "data02['RATE'] = data02['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data02['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_02 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_02 = databin_are(F1,F1)\n",
    "per_data_binned_02 = databin_are(per_data,F1)\n",
    "per_data_b_std_02 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_02 = np.array(F1_binned_02)+np.array(per_data_binned_02)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_02, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_02, p_times_f_data_b_02, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_02, p_times_f_data_b_02, yerr=per_data_b_std_02, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2002\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_02 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_02,columns = ['f','per'])\n",
    "test.to_csv('perlist02.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_02]\n",
    "#fb=[10**i for i in F1_binned_02]\n",
    "#stdb=[10**i for i in per_data_b_std_02]\n",
    "#perlistbinned_02 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_02,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned02.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data081 = pd.read_csv(\"1H0707495_081_rate_0310_tb50_sel.csv\")\n",
    "data081['RATE'] = data081['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data081['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_081 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_081 = databin_are(F1,F1)\n",
    "per_data_binned_081 = databin_are(per_data,F1)\n",
    "per_data_b_std_081 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_081 = np.array(F1_binned_081)+np.array(per_data_binned_081)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_081, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_081, p_times_f_data_b_081, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_081, p_times_f_data_b_081, yerr=per_data_b_std_081, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2008(1)\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_081 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_081,columns = ['f','per'])\n",
    "test.to_csv('perlist081.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_081]\n",
    "#fb=[10**i for i in F1_binned_081]\n",
    "#stdb=[10**i for i in per_data_b_std_081]\n",
    "#perlistbinned_081 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_081,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned081.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data084 = pd.read_csv(\"1H0707495_084_rate_0310_tb50_sel.csv\")\n",
    "data084['RATE'] = data084['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data084['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_084 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_084 = databin_are(F1,F1)\n",
    "per_data_binned_084 = databin_are(per_data,F1)\n",
    "per_data_b_std_084 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_084 = np.array(F1_binned_084)+np.array(per_data_binned_084)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_084, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_084, p_times_f_data_b_084, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_084, p_times_f_data_b_084, yerr=per_data_b_std_084, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2008(4)\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_084 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_084,columns = ['f','per'])\n",
    "test.to_csv('perlist084.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_084]\n",
    "#fb=[10**i for i in F1_binned_084]\n",
    "#stdb=[10**i for i in per_data_b_std_084]\n",
    "#perlistbinned_084 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_084,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned084.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data101 = pd.read_csv(\"1H0707495_101_rate_0310_tb50_sel.csv\")\n",
    "data101['RATE'] = data101['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data101['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_101 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_101 = databin_are(F1,F1)\n",
    "per_data_binned_101 = databin_are(per_data,F1)\n",
    "per_data_b_std_101 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_101 = np.array(F1_binned_101)+np.array(per_data_binned_101)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_101, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_101, p_times_f_data_b_101, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_101, p_times_f_data_b_101, yerr=per_data_b_std_101, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2010(1)\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_101 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_101,columns = ['f','per'])\n",
    "test.to_csv('perlist101.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_101]\n",
    "#fb=[10**i for i in F1_binned_101]\n",
    "#stdb=[10**i for i in per_data_b_std_101]\n",
    "#perlistbinned_101 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_101,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned101.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x576 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "data102 = pd.read_csv(\"1H0707495_102_rate_0310_tb50_sel.csv\")\n",
    "data102['RATE'] = data102['RATE'].interpolate()\n",
    "\n",
    "\n",
    "dt=50\n",
    "counts_data = data102['RATE']\n",
    "N=len(counts_data)\n",
    "pnum = np.arange(len(counts_data))\n",
    "t = [i*dt for i in pnum]\n",
    "\n",
    "\n",
    "nf = N/2\n",
    "df = 1/(dt*N)\n",
    "F_a = np.arange(1,nf+1)\n",
    "F = [i*df for i in F_a]\n",
    "F1 = F[0:int(nf)]\n",
    "mean_x = np.mean(counts_data)\n",
    "dft = fft(counts_data)\n",
    "dft1= dft[1:int(nf)+1]\n",
    "per_data = (abs(dft1)**2)*2*dt/((mean_x**2)*N)\n",
    "p_times_f_data = np.multiply(np.array(F1),np.array(per_data))\n",
    "\n",
    "F1_log_102 = [math.log(i,10) for i in F1]\n",
    "ptf_data_log_00 = [math.log(i,10) for i in p_times_f_data]\n",
    "\n",
    "# 数据分bin\n",
    "F1_binned_102 = databin_are(F1,F1)\n",
    "per_data_binned_102 = databin_are(per_data,F1)\n",
    "per_data_b_std_102 = databin_are_std(per_data,F1)\n",
    "p_times_f_data_b_102 = np.array(F1_binned_102)+np.array(per_data_binned_102)\n",
    "\n",
    "\n",
    "plt.figure(figsize=(10,8))\n",
    "plt.plot(F1_log_102, ptf_data_log_00, color=\"b\", alpha=0.3, linewidth=1)\n",
    "plt.scatter(F1_binned_102, p_times_f_data_b_102, color=\"r\", linewidth=1) \n",
    "plt.errorbar(F1_binned_102, p_times_f_data_b_102, yerr=per_data_b_std_102, fmt='.r')\n",
    "plt.xlabel(\"log frequency\",fontsize=20)\n",
    "plt.ylabel(\"log power*frequency\",fontsize=20)\n",
    "plt.title(\"PSD-2010(2)\",fontsize=20)\n",
    "plt.tick_params(labelsize=15)\n",
    "plt.show()\n",
    "\n",
    "perlist_102 = {'f':F1,'per':per_data}\n",
    "test = pd.DataFrame(perlist_102,columns = ['f','per'])\n",
    "test.to_csv('perlist102.csv')\n",
    "\n",
    "#perb=[10**i for i in per_data_binned_102]\n",
    "#fb=[10**i for i in F1_binned_102]\n",
    "#stdb=[10**i for i in per_data_b_std_102]\n",
    "#perlistbinned_102 = {'f':fb,'per':perb,'std':stdb}\n",
    "#test = pd.DataFrame(perlistbinned_102,columns = ['f','per','std'])\n",
    "#test.to_csv('perlistbinned102.csv')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1440x1440 with 4 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig= plt.figure(figsize=(20,20))\n",
    "ax1 = plt.subplot(221)\n",
    "ax2 = plt.subplot(222)\n",
    "ax3 = plt.subplot(223)\n",
    "ax4 = plt.subplot(224)\n",
    "\n",
    "\n",
    "ax1.step(F1_binned_081, p_times_f_data_b_081, where='mid',color=\"b\")\n",
    "ax2.step(F1_binned_101, p_times_f_data_b_101, where='mid',color=\"orange\")\n",
    "ax3.step(F1_binned_084, p_times_f_data_b_084, where='mid', color=\"g\")\n",
    "ax4.step(F1_binned_102, p_times_f_data_b_102, where='mid', color=\"r\")\n",
    "\n",
    "\n",
    "ax1.errorbar(F1_binned_081, p_times_f_data_b_081, yerr=per_data_b_std_081, fmt=',',color=\"b\", label='2008(1)')\n",
    "ax2.errorbar(F1_binned_101, p_times_f_data_b_101, yerr=per_data_b_std_101, fmt=',',color=\"orange\", label='2010(1)')\n",
    "ax3.errorbar(F1_binned_084, p_times_f_data_b_084, yerr=per_data_b_std_084, fmt=',',color=\"g\",label='2009(1)')\n",
    "ax4.errorbar(F1_binned_102, p_times_f_data_b_102, yerr=per_data_b_std_102, fmt=',',color=\"r\",label='2010(2)')\n",
    "\n",
    "\n",
    "ax1.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax1.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax1.set_xlim(-5.0,-2.5)\n",
    "ax1.set_ylim(-5,-1)\n",
    "ax1.tick_params(labelsize=15)\n",
    "ax1.set_title(\"PSD 2008(1)\",fontsize=23)\n",
    "ax2.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax2.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax2.set_xlim(-5.0,-2.5)\n",
    "ax2.set_ylim(-5,-1)\n",
    "ax2.tick_params(labelsize=15)\n",
    "ax2.set_title(\"PSD 2010(1)\",fontsize=23)\n",
    "ax3.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax3.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax3.set_xlim(-5.0,-2.5)\n",
    "ax3.set_ylim(-5,-1)\n",
    "ax3.tick_params(labelsize=15)\n",
    "ax3.set_title(\"PSD 2008(4)\",fontsize=23)\n",
    "ax4.set_xlabel(\"log frequency\",fontsize=20)\n",
    "ax4.set_ylabel(\"log power*frequency\",fontsize=20)\n",
    "ax4.set_xlim(-5.0,-2.5)\n",
    "ax4.set_ylim(-5,-1)\n",
    "ax4.tick_params(labelsize=15)\n",
    "ax4.set_title(\"PSD 2010(2)\",fontsize=23)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
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